Exact conserved quantities on the cylinder II: off-critical case

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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enlarged version before sending to jurnal, second part of hep-th/0211094

Scientific paper

10.1088/1126-6708/2003/08/042

With the aim of exploring a massive model corresponding to the perturbation of the conformal model [hep-th/0211094] the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an integrable lattice field theory. The eigenvalues of the energy and of the transfer matrix (and of all the other local integrals of motion) are expressed in terms of the corresponding solutions of the nonlinear integral equation. The analytic and asymptotic behaviours of the transfer matrix are studied and given.

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